Four-wave acousto-electromagnetic interactions in crystals with a nonlinear electrostriction

The four-wave parametric interaction of a microwave sound with a powerful electromagnetic radiation in a strong nonlinear regime is studied numerically. The interaction occurs due to account of the fourth order terms in expansion of the free energy of the anisotropic crystal. It is shown that both instability and parametric amplification of the wave amplitude in a system take place. This leads to generation of the periodical structures of short nonlinear pulses of sound. The account of small noise in a bounded crystal leads to the quasi-coherent dynamics and results in arising of self-organizing of acousto-electromagnetic waves.